Answer:
9*(6+7)
Step-by-step explanation:
First, we have to find the Greatest Common Factor (GCF), to do this we have to see all the factors of 54 and 63 and find the greatest factor that they have in common.
Factors of 54
1,2,3,6,9,18,27,54
Factors of 63
1,3,7,9,21,63
The GCF is 9 because is the greatest factor that is common to both numbers.
Now we have to divide 54/9 and 63/9
54/9 = 6
63/9 = 7
So now we can write the product of the GCF and another sum:
9*(6+7)
<em>We can prove this by solving both expressions:</em>
<em>54+63 = 9*(6+7)</em>
<em>117 = 9*13</em>
<em>117 = 117 </em>
<em>The results are equal so we prove it is right.</em>
Answer:

Step-by-step explanation:
Given:
shape of object = Pyramidal
length of base l= 4ft
width of base w = 3ft
height of pyramid h = 6 ft
To find:
volume of pyramid = ?
Solution:


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Answer: 15:8
Step-by-step explanation:
Acacia leaves= 15 bags
Eucalyptus leaves=8 bags
A ratio compares two amounts and uses a :
We are comparing acacia leaves bags to eucalyptus leaves bags
So-
15:8
We cannot simplify any more, so keep 15:8.
Answer:
The cross multiplication would be 10(350) = 22(x).
Step-by-step explanation:
We would first convert meters to centimeters. There are 100 cm in a meter; this means 3.5 m = 3.5(100) = 350 cm.
The ratio of the height to base of the model is 10/22. The ratio of the playhouse would then be x/350. This gives us
10/22 = x/350
Cross multiplying, we would have 10(350) = 22(x).